History and epistemology in mathematics education : trends, practices, future developments / Évelyne Barbin, Michael N. Fried, Marta Menghini, Francesco Saverio Tortoriello, editors

Format:

Book

Contributor:

Barbin, E. (Evelyne), editor.

Fried, Michael N., editor.

Menghini, Marta, editor.

Tortoriello, Francesco Saverio, editor.

Series:

Trends in the History of Science, 2297-296X

Language:

English

Subjects (All):

Mathematics.

History.

Mathematics--Study and teaching.

History of Mathematical Sciences.

Mathematics Education.

Local Subjects:

Mathematics.

History of Mathematical Sciences.

Mathematics Education.

Physical Description:

1 online resource (665 pages)

Edition:

1st ed.

Place of Publication:

Cham : Springer Nature Switzerland, [2025]

Summary:

This book explores the evolving relationship between the history and epistemology of mathematics and mathematics education over the past fifty years. Beginning with the international movement that emerged in the 1970s, it celebrates the enduring and expanding role of historical and epistemological perspectives in shaping teaching practices. Organized into seven thematic sections, the volume examines core issues such as how historical and epistemological insights enhance understanding of mathematical concepts, interdisciplinarity as a tool for teaching, and innovative approaches to teacher training. It also delves into the use of historical problems, ancient texts, and textbooks as teaching resources, alongside an analysis of the social and political dimensions of mathematics education. Special attention is given to the impact of the "modern mathematics" reform and its legacy in rekindling interest in the history of mathematics in education. Featuring contributions from diverse geographical and historical contexts, this book is an essential resource for teachers, researchers, and anyone passionate about the rich interplay of history, epistemology, and mathematics.

Contents:

D’ALEMBERT’S ENCYCLOPEDIC REFLECTIONS ON THE DISPUTE ABOUT THE SHAPE OF THE EARTH

EPISTEMOLOGICAL FUNCTIONS OF INSTRUMENTS IN TEACHING OF “EXPERIMENTAL GEOMETRY

WHEN PRACTICAL MATHEMATICS MEETS SPECULATIVE MATHEMATICS: PIERO DELLA FRANCESCA AND THE VOLUME OF THE VAULT

SHAPING CRITERIA FOR THE DIDACTICAL TRANSPOSITION OF HISTORICAL MATHEMATICAL KNOWLEDGE

THE CONTRIBUTIONS OF UBIRATAN D'AMBROSIO AND PAULUS GERDES TO THE HISTORY AND EPISTEMOLOGY OF MATHEMATICS

CALCULUS AS NEVER TOUCHED BEFORE

THE DIVISION OF PLANE FIGURES: HISTORICAL BACKGROUND, DIACHRONIC APPROACH AND MATHEMATICAL SOLUTIONS

ANCIENT PROBLEMS AND CONTEMPORARY IUSSUES

THE EPISTEMOLOGICAL ROLE OF SPATIAL THINKING IN THE CONSTRUCTION OF CONIC SECTIONS. A SOCIAL APPROACH

A CLASSROOM EXPERIENCE BETWEEN GEOMETRY AND ALGEBRA WITH THE HELP OF THE HISTORY OF MATHEMATICS

THE HISTORY OF MATHEMATICS IN ITALY: THE ROLE OF APPLICATIONS

TEACHING ON THE BORDER BETWEEN MATHEMATICS AND PHYSICS THROUGH THE HISTORY OF MATHEMATICS: FAGNANO’S PROBLEM

ALGORITHMS BEFORE COMPUTERS

POTENTIAL OF COLLABORATION BETWEEN HISTORY AND MATHEMATICS TEACHERS: EMPERICAL INVESTIGATION

ENACTING THE STORIES BEHIND THE CONCEPTS

INCORPORATING HISTORY OF MATHEMATICS IN INITIAL TEACHER EDUCATION IN REUNION AND MAYOTTE INCORPORATING HISTORY

DESIGNING HISTORY-INSPIRED LESSONS: AN ACTION RESEARCH WITH PRE-SERVICE MATHEMATICS TEACHERS IN NORWAY

THE HISTORY OF MATHEMATICS FOR TEACHING AND LEARNING MATHEMATICS

IN SEARCH FOR THE “MODERATOR IN DIALOGUE” ATTITUDE TOWARD THE PAST

HISTORY OF MATHEMATICS AS A COMPONENT OF MATHEMATICAL KNOWLEDGE FOR TEACHING

BOOK OF ALGEBRA IN ARITHMETICS AND GEOMETRY

EUCLID’S INFLUENCE ON 19TH CENTURY MATHEMATICS EDUCATION: SOME EXAMPLES FROM A NORWEGIAN TEXTBOOK IN PLANE GEOMETRY

BEYOND THE TEXTBOOK: REFLECTIONS ON HANDS-ON APPROACH FROM JULES DALSÈME’S (1845-1904) PRODUCTION

HISTORY OF MATHEMATICS IN PORTUGUESE ANCIENT TEXTBOOKS OF VICENTE GONÇALVES AND SEBASTIÃO E SILVA: POTENTIALITIES FOR CURRENT TEACHING

HISTORY OF MATHEMATICS IN BRAZILIAN SECONDARY SCHOOL TEXTBOOKS

MATHEMATICAL ICONS IN MATHEMATICS EDUCATION

ARGUING FOR EQUALITY: A WORKSHOP FOR SECONDARY SCHOOL EXPLORING THE POLITICAL ARGUMENT STARTING FROM THE STRUCTURE OF THE GREEK DEMONSTRATION

GORCEIX AND THE MATHEMATICS IN BRAZIL – FRENCH INFLUENCES IN THE XIX CENTURY

A HIDDEN THREAD: IDEAS AND PROPOSALS ON CHILDRENS’ MATHEMATICS EDUCATION IN THE LATE MODERN AGE

MATHEMATICS AS AN EDUCATIONAL OPPORTUNITY FOR CHILDREN WITH INTELLECTUAL DISABILITIES: INSIGHTS FROM ÉDOUARD SÉGUIN (1812-1880)

IN SEARCH FOR THE EARLY ROOTS OF NEW MATH REFORM MOVEMENTS

RECOVER, REPURPOSE, REFORM

DISTINCT APPROACHES TO INTEGERS IN TECHNICAL SCHOOLS AND IN LICEUS, DURING MODERN MATHEMATICS IN PORTUGAL

REBIRTH OF MATHEMATICAL LOGIC IN ITALY DURING THE SECOND HALF OF THE 20TH CENTURY, AND ITS INTRODUCTION INTO THE SCHOOL MATHEMATICS CURRICULUM.

Notes:

Description based on publisher supplied metadata and other sources.

ISBN:

9783031868702

3-031-86870-6

OCLC:

1524424803